Differential Game Barriers for Two Spacecraft Engaged in a Pursuit-Evasion Game in Orbit

Abstract

The study searches for the differential game barrier for two spacecraft engaged in a pursuit-evasion game in orbit. By linearizing the equations of motion, a set of linear state equations is developed which, along with the non-linear state equations, is used to generate trajectories backward from the terminal surface. The trajectories for the linear and non-linear equations are then compared for equivalence and also used to provide necessary information on the barrier itself. Once the barrier has been determined, a method is developed theoretically to evaluate the location of a given starting point as to whether it lies in the escape zone or in the capture zone. The computer programs used in this study are included in the appendix for future research in this area.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1973
Accession Number
AD0774395

Entities

People

  • Victor W. Grazier

Organizations

  • Air Force Institute of Technology

Tags

Communities of Interest

  • Space
  • Weapons Technologies

DTIC Thesaurus Topics

  • Air Force
  • Boundaries
  • Computer Programs
  • Computers
  • Differential Equations
  • Earth Orbits
  • Equations Of Motion
  • Equations Of State
  • Game Theory
  • Geometry
  • Linear Programming
  • Radial Velocity
  • Spacecraft
  • Three Dimensional
  • Trajectories
  • Two Dimensional
  • United States

Readers

  • Control Systems Engineering.
  • Game Theory.

Technology Areas

  • Space
  • Space - Spacecraft Maneuvers